Welcome back:
I would think they should be able. That is one of the most common causes if the symptoms you described. Wow! A grand for a fuel pump? That's a lot.
It's easy to check. If there is no RPM signal when it fails to start (using a live data scanner) or spark is lost to the plugs will tell the story. Interestingly, under certain conditions a bad sensor will not set a diagnostic trouble code, so that confuses people.
Feel free to let me know if you have questions or need help. I can walk you through the testing process if needed and you can do it yourself.
In case you want to check it yourself, chances are you don't have the live data scanner, so here is a link that explains how to check for spark.
https://www.2carpros.com/articles/how-to-test-an-ignition-system
You can do it that way or when it refuses to start, see if starting fluid makes a difference. If it doesn't even start for a couple seconds using starting fluid, there is no ignition spark.
Also, when it refuses to start, see if you can hear the fuel pump prime when you first turn the key on.
Take care and let me know what happens.
Joe
Sunday, September 22nd, 2019 AT 8:38 PM